Write as an exponential equation.
-$\log _ { 14 } \sqrt [ 5 ] { 14 } = \frac { 1 } { 5 }$
A) $14 ^ { 1 / 5 } = \sqrt [ 5 ] { 14 }$
B) $( \sqrt [ 5 ] { 14 } ) ^ { 1 / 5 } = 14$
C) $14 ^ { \sqrt [ 5 ] { 14 } } = \frac { 1 } { 5 }$
D) $\left( \frac { 1 } { 5 } \right) ^ { 14 } = \sqrt [ 5 ] { 14 }$

Question

Quizplus · Accepted Answer

The logarithmic equation $\log _ { 14 } \sqrt [ 5 ] { 14 } = \frac { 1 } { 5 }$ can be rewritten in exponential form as $14^{1/5} = \sqrt[5]{14}$, which matches choice A. This follows from the definition of logarithms, where $\log_b a = c$ is equivalent to $b^c = a$.

Write as an Exponential Equation log⁡14145=15\log _ { 14 } \sqrt [ 5 ] { 14 } = \frac { 1 } { 5 }log14​514​=51​

Write as an Exponential Equation $\log _ { 14 } \sqrt [ 5 ] { 14 } = \frac { 1 } { 5 }$